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Finding the Fourth Proportional to 3,421.94, 5,132.90 and 824.87

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Solution

The fourth proportional to 3,421.94, 5,132.90 and 824.87 is: 1,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.94 : 5,132.90 = 824.87 : x
  2. Step 2: Convert to fraction form
    3,421.94/5,132.90 = 824.87/x
  3. Step 3: Cross multiply
    3,421.94x = 5,132.90 × 824.87
  4. Step 4: Simplify right side
    3,421.94x = 4,233,975.22
  5. Step 5: Solve for x
    x = 4,233,975.22/3,421.94
  6. Step 6: Final answer
    x = 1,237.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.